A nonlinear POD-Galerkin reduced-order model for compressible flows taking into account rigid body motions

DOI10.1016/j.cma.2011.08.017zbMath1239.76046OpenAlexW2019526245MaRDI QIDQ423473

Antoine Placzek, Duc-Minh Tran, Roger Ohayon

Publication date: 2 June 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2011.08.017

zbMATH Keywords

proper orthogonal decompositionrigid body motionnonlinearcompressible flowStokesreduced-order modelNavier

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Compressible fluids and gas dynamics (76N99)

Related Items

Non-incremental response evaluation in geometrically nonlinear structural dynamics using a space-time stiffness operator ⋮ A nonintrusive reduced order modelling approach using proper orthogonal decomposition and locally adaptive sparse grids ⋮ Unnamed Item ⋮ Error analysis of an incremental proper orthogonal decomposition algorithm for PDE simulation data ⋮ A note on incremental POD algorithms for continuous time data

Uses Software

• elsA
• ODEPACK

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the stability and extension of reduced-order Galerkin models in incompressible flows. A numerical study of vortex shedding
• Calibrated reduced-order POD-Galerkin system for fluid flow modelling
• Applications of multi-POD to a pitching and plunging airfoil
• Reduced-order models for parameter dependent geometries based on shape sensitivity analysis
• Accurate model reduction of transient and forced wakes
• A fast algorithm for the recursive calculation of dominant singular subspaces
• Shape sensitivity analysis in flow models using a finite-difference approach
• Robust model identification of actuated vortex wakes
• Enablers for robust POD models
• Minimal dynamial systems from PDEs using Sobolev eigenfunctions
• Reduced-order modeling of a two-dimensional flow with moving shocks.
• A spectral viscosity method for correcting the long-term behavior of POD models.
• On low-dimensional Galerkin models for fluid flow
• Stability properties of POD-Galerkin approximations for the compressible Navier-Stokes equations
• Model reduction for compressible flows using POD and Galerkin projection
• Polynomial identification of POD based low-order dynamical system
• Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
• Low-dimensional modelling of a confined three-dimensional wake flow
• Truncated Singular Value Decomposition Solutions to Discrete Ill-Posed Problems with Ill-Determined Numerical Rank
• An intrinsic stabilization scheme for proper orthogonal decomposition based low-dimensional models
• Calibration of POD reduced‐order models using Tikhonov regularization
• Optimal rotary control of the cylinder wake using proper orthogonal decomposition reduced-order model
• The dynamics of coherent structures in the wall region of a turbulent boundary layer
• Turbulence and the dynamics of coherent structures. I. Coherent structures
• Turbulence, Coherent Structures, Dynamical Systems and Symmetry
• Recursive Calculation of Dominant Singular Subspaces
• Intermodal energy transfers in a proper orthogonal decomposition–Galerkin representation of a turbulent separated flow
• A hierarchy of low-dimensional models for the transient and post-transient cylinder wake
• Low-order modelling of laminar flow regimes past a confined square cylinder
• Application of proper orthogonal decomposition to the discrete Euler equations
• A modern course in aeroelasticity.
• Computation of POD basis functions for fluid flows with Lanczos methods
• Galerkin proper orthogonal decomposition methods for parabolic problems